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strojnjashka [21]
3 years ago
13

What is the derivative of Y =x√(2x + 1)/e^xsin^3(x).?

Mathematics
1 answer:
blagie [28]3 years ago
3 0
-\dfrac{\mathrm{e}^{-x}\left(\left(2x^2-2x-1\right)\sin\left(x\right)+\left(6x^2+3x\right)\cos\left(x\right)\right)}{\sqrt{2x+1}\sin^4\left(x\right)}.
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The graph below shows two functions: function f of x is a straight line which joins the ordered pairs negative 2.5, 9 and 2.5, n
weqwewe [10]
We are looking for the approximate solution of -2x+4=(0.25)^x, that is, we are looking for the solution of the equation f(x)=g(x).

The solution of this equation are represented by the intersecting points (x, y) of the graphs of these functions, because the intersecting points (x, y) are such that 

                    y=f(x), but also y=g(x).


From the graph, we can see that there are two solutions, one is at approximately x=2, and the other is approximately -1.4.


Answer: -1.4, 2.

6 0
3 years ago
Read 2 more answers
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks we
aleksley [76]

Answer:

25

Step-by-step explanation:

ratio 5:6

\frac{5}{6} = \frac{x}{30}

6x = 5(30)

6x = 150

x = 25

3 0
3 years ago
What is f(3)??????????
AURORKA [14]
<h3><u>Explanation</u></h3>
  • Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

  • Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0
3 years ago
The sales tax rate for the state of Washington was 7%.
sladkih [1.3K]

Answer:

Total cost of the car including tax=$4,066

Step-by-step explanation:

Sales tax rate=7%

Price of the car=$3800

Sales tax=7% of 3800

=7/100×3800

=$266

Total cost of the car=price of the car+ sales tax

=$3800+$266

=$4,066

5 0
3 years ago
Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0
1 year ago
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